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Polynomials: Remainder Theorem
The remainder when v2 + 14 v + 51 is divided by v + 5 is

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Worked Solution:

The Remainder Theorem:
When a polynomial P(v) is divided by v – a the remainder is P(a)
The divisor is v + 5 so we substitute v = –5 into v2 + 14 v + 51:
P( –5) = ((–5))2 + 14 (–5) + 51 = 6
=> the remainder is 6.

© MEI Produced by Dr Ron Knott, 3 September 2004
tom . button [AT] mei . org . uk 		Test reference: PolyRemThm.html?ref=15592,qu=rem